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Application of Compound Interest

Total questions: 10

Worksheet time: 37mins

Name
Class
Date
1.

A bank gives you two options to choose from for your investments:

Option A: 8% annual interest rate compounded yearly; and

Option B: 7.9% annual interest rate compounded quarterly.

Decide which is the better investment at the end of 2 years.

a)

Option A

b)

Option B

2.

Christopher and Jennifer are establishing a fund for their son's college education. What lump sum must they deposit in an account that gives 8% annual interest rate, compounded monthly, in order for them to have $60,000 in the fund at the end of 10 years?

a)

$28,331.41

b)

$31,607.41

c)

$29,351.41

d)

$27,031.41

3.

Ian purchased a bond for $3200, and ten months later he sold it for 3700. What annual rate would he have to earn in a savings account compounded monthly, to earn the same money on his investment?

a)

19.05%

b)

19.55%

c)

17.55%

d)

18.3%

4.

Sarah purchased a bond for a museum valued at $8,000 for $2,400. If the bond pays 5.5% annual interest compounded monthly, how long must she hold it until it reaches its full face value?

a)

20.94 years

b)

21.94 years

c)

23..94 years

d)

19.94 years

5.

Find the accumulated value of an investment of $7000 at 8% compounded continuously for 3 years. Use  A = PertA\ =\ Pe^{rt}  

a)

$8998.74

b)

$8898.74

c)

$8817.98

d)

$8680.00

6.

$6149 is deposited into a savings account at 10% interest by Joan, compounded weekly. To the nearest year, how long will it take for Joan's account balance to reach $1,000,000?

a)

46 years

b)

71 years

c)

36 years

d)

51 years

7.

Brandon just put $4190 in a CD that is expected to earn 17% compounded monthly, and $8773 in a savings account that is expected to earn 3% compounded monthtly. Determine when, to the nearest year, the values of Brandon's two investments will be the same.

a)

5 years

b)

7 years

c)

2 years

d)

4 years

8.

Jason has money in an account at 7% interest, compounded monthly. To the nearest year, how long will it take for Jason's money to double?

a)

14 years

b)

8 years

c)

10 years

d)

6 years

9.

Jennilyn has money in an account at 10% interest, compounded montly. To the nearest year, how long will it take for her money to triple?

a)

7 years

b)

11 years

c)

15 years

d)

9 years

10.

Use the compound interest formula to compute the future value of the investment. if $1640 invested at 6.6% compounded annually for 17 years by Rania, what is the value of Rania's investment?

a)

$4559.94

b)

$4860.90

c)

$3480.08

d)

$3371.84